Factorise: $25 x^{2} + 9 y^{2} - 30 x y$

Open in App

Solution

Using the identity $(a^{2} + b^{2} - 2 a b) = (a - b)^{2}$
We can write, $(25 x^{2} + 9 y^{2} - 30 x y)$ as
$= (5 x)^{2} + (3 y)^{2} - 2 \times 5 x \times 3 y$
$= (5 x - 3 y)^{2}$
Hence, factors are $(5 x - 3 y) (5 x - 3 y)$ .

Suggest Corrections

Similar questions

25 x^{2} + 9 y^{2} - 30 x y

(25 x^{2} - 16 y^{2})

25 x^{2} - 64 y^{2}

(4 x^{2} - 12 x y + 9 y^{2}) + (25 x^{2} + 4 x y - 32 y^{2})

Factorise:
$25 x^{2} - 10 x + 1 - 36 y^{2}$

Join BYJU'S Learning Program